Question

The angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7. Find these angles.

Answer 1

Suppose the angles of the quadrilateral are 2x, 4x, 5x and 7x.
$$\begin{gathered} \mathrm{So},2x+4x+5x+7x=360° \\ \Rightarrow 18x=360° \\ \Rightarrow x=20° \\ \mathrm{Hence},\mathrm{the}\mathrm{angles}\text{of}\text{the}\mathrm{quadrilateral}\mathrm{are} \\ 2x=2\times 20°=40° \\ 4x=4\times 20°=80° \\ 5x=5\times 20°=100° \\ 7x=7\times 20°=140° \end{gathered}$$